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Finding the Fourth Proportional to 118.17, 176.82 and 71.93

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Solution

The fourth proportional to 118.17, 176.82 and 71.93 is: 107.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.17 : 176.82 = 71.93 : x
  2. Step 2: Convert to fraction form
    118.17/176.82 = 71.93/x
  3. Step 3: Cross multiply
    118.17x = 176.82 × 71.93
  4. Step 4: Simplify right side
    118.17x = 12,717.78
  5. Step 5: Solve for x
    x = 12,717.78/118.17
  6. Step 6: Final answer
    x = 107.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.